Flexural wave propagation and power flow in an axisymmetrical circular plate by the acoustical wave propagator technique

This paper presents the acoustical wave propagator (AWP) technique to describe the time-dependent flexural wave propagation, dynamic stress and power flow in an axisymmetrical circular plate. A combined scheme of Chebyshev polynomial expansion and fast Fourier transformation is used to implement the operation of the AWP in polar coordinates. The exact analytical solution of plate vibration velocity is used to compare with those obtained by the AWP technique to verify its validity. Kinetic, potential and total energy densities, and power intensity are also studied for better understanding of energy and power flow distributions in vibrating circular plate.